44505634680 has 384 divisors, whose sum is σ = 165315870720. Its totient is φ = 10699153920.

The previous prime is 44505634631. The next prime is 44505634697. The reversal of 44505634680 is 8643650544.

44505634680 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 5 + 634 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5429385 + ... + 5437575.

It is an arithmetic number, because the mean of its divisors is an integer number (430510080).

Almost surely, 2^44505634680 is an apocalyptic number.

44505634680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44505634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82657935360).

44505634680 is an abundant number, since it is smaller than the sum of its proper divisors (120810236040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44505634680 is a wasteful number, since it uses less digits than its factorization.

44505634680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 44505634680 in words is "forty-four billion, five hundred five million, six hundred thirty-four thousand, six hundred eighty".